Solved: Calculate the scalar product (dot product) of vectors $\mathbf{a} = 3\mathbf{i} + 4\mathbf{j}$ and $\mathbf{b} = 2\mathb...

Question

Calculate the scalar product (dot product) of vectors $\mathbf{a} = 3\mathbf{i} + 4\mathbf{j}$ and $\mathbf{b} = 2\mathbf{i} - 1\mathbf{j}$

Verified Answer

Explanation & Step-by-Step Solving

Solving: Multiply matching direction coefficients: $(a_x \cdot b_x) + (a_y \cdot b_y) = (3 \times 2) + (4 \times -1) = 6 - 4 = 2$ .

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